Hi, there--
I think I really need more clues. I know of a couple of shoe brands whose soles have a unique sole like the one you describe. The closest thing that comes to mind is El Naturalista--here's an example of the sole:
You can find this brand on Zappos or Endless, and I think at Nordstrom, too.
The other brand I know with a unique sole is Born, and the soles can look like this:
or this:
or this:
Plus, they're often made in Mexico.